Brett is cutting construction paper into rectangles for a project. He needs to cut one rectangle that is 16 inches × 12 1/4 inches. He needs to cut another rectangle that is 10 1/3 inches by 10 1/4 inches. How many total square inches of construction paper does Brett need for his project?
To find the area of the first rectangle, multiply the length by the width:
16 inches × 12 1/4 inches = (16 × 12) + (16 × 1/4) = 192 + 4 = 196 square inches
To find the area of the second rectangle, multiply the length by the width:
10 1/3 inches × 10 1/4 inches = (10 × 10) + (10 × 1/4) + (1/3 × 10) + (1/3 × 1/4) = 100 + 2.5 + 3.33 + 0.083 = 105.913 square inches
To find the total area that Brett needs to cut, add the area of the first rectangle to the area of the second rectangle:
196 square inches + 105.913 square inches = 301.913 square inches
Therefore, Brett needs to cut a total of 301.913 square inches of construction paper for his project.